My textbook says that the Lp-norm converges to the Chebyshev norm. This seems intuitive, but I fail to prove it.

Thus, my question is, how do I prove that

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- November 12th 2010, 12:52 AMbatmanLp-norm converges to Chebyshev norm?
My textbook says that the Lp-norm converges to the Chebyshev norm. This seems intuitive, but I fail to prove it.

Thus, my question is, how do I prove that - November 12th 2010, 08:53 AMroninpro
Without loss of generality, take to be the maximum of all of the . Try working with

noting that .